How to solve 2nd order ODE solution eg. te^t+e^t, for t?

I have a second order differential equation with a solution in the form:

[tex]f(t) = Ae^{t}+Bte^{t}[/tex]

I want to solve for t, ie. work out for what value of t does the function f(t) have a particular value. But there seems to be no way (that I know of) to do this. Can anyone give me any pointers to what to do here?

I have a second order differential equation with a solution in the form:

[tex]f(t) = Ae^{t}+Bte^{t}[/tex]

I want to solve for t, ie. work out for what value of t does the function f(t) have a particular value. But there seems to be no way (that I know of) to do this. Can anyone give me any pointers to what to do here?

Thanks.

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Another way would be to use the Newton-Raphson iterative scheme. Here is a link: